Part F Integrate both sides of the differential equation you found for d p to ob

Question

Part F Integrate both sides of the differential equation you found for dp to obtain an equation for p. Your equation should then include a constant that depends on initial conditions. Determine the value of this constant by assuming that the pressure at some reference height y0 is p0. Express your answer in terms of quantities given in the problem introduction along with y0 and p0. p= SubmitHintsMy An Part F Integrate both sides of the differential equation you found for dp to obtain an equation for p. Your equation should then include a constant that depends on initial conditions. Determine the value of this constant by assuming that the pressure at some reference height y0 is p0. Express your answer in terms of quantities given in the problem introduction along with y0 and p0. p= SubmitHintsMy An p= p= SubmitHintsMy An p= Integrate both sides of the differential equation you found for dp to obtain an equation for p. Your equation should then include a constant that depends on initial conditions. Determine the value of this constant by assuming that the pressure at some reference height y0 is p0. Express your answer in terms of quantities given in the problem introduction along with y0 and p0.

Explanation / Answer

Let density=D & total hieght=H

we know dp=Dgdh where h is depth

y=H-h; dy=-dh

dp=-Dgdy

integrating

p=-Dgy + c

at y=yo, p=po

c=po+Dgyo

p=po + Dd(yo-y)

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